Title: Finite groups with ℙ-subnormal primary cyclic subgroups
Authors: Kniahina, V.N.
Monakhov, V.S.
Княгина, В.Н.
Монахов, В.С.
Keywords: finite group
supersolvable group
primary subgroup
cyclic subgroup
Issue Date: 2011
Citation: Kniahina, V.N. Finite groups with ℙ-subnormal primary cyclic subgroups / V.N. Kniahina, V.S. Monakhov // arXiv.org.math.GR. - 2011. - arXiv:1110.4720v2. - P. [1-15].
Abstract: A subgroup H of a group G is called P-subnormal in G whenever either H = G or there is a chain of subgroups H = H0 ⊂ H1 ⊂ . . . ⊂ Hn = G such that |Hi : Hi−1| is a prime for all i. In this paper, we study the groups in which all primary cyclic subgroups are P-subnormal.
URI: http://elib.gsu.by/jspui/handle/123456789/17229
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